What is the hamming distance between the codes '11001011' and ‘10000111'

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VSSC ISRO Technical Assistant Electronics 14 July 2021 Official Paper
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Answer (Detailed Solution Below)

Option 2 : 3
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Concept:

Hamming distance is a metric for comparing two binary strings. While comparing two binary strings of equal length, Hamming distance is the number of bit positions in which the two bits are different.

Explanation:

Given code words are: 11001011 and 10000111

Hamming distance can also be calculated by taking XOR of two code words.

 

1

1

0

0

1

0 1 1

1

0

0

0

0

1 1 1

 

0

1

0

0

1

1 0 0

 

The number of 1’s in XOR result is 3 ∴ Minimum Hamming distance is 3 only 

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